Counting of figures– Railway Reasoning (part – 1)

Total Questions: 50

41. What is the minimum number of lines required to make the given image? [ALP Tier II 21/01/2019 (Evening)]

Correct Answer: (a) 9
Solution:

Total number of straight lines in the given figure = 9
RPF CONS

42. How many squares are there in the given figure? [RPF Constable 17/01/2019 (Morning)]

Correct Answer: (d) 12

43. How many squares are there in given figure? [RPF Constable 18/01/2019 (Afternoon)]

Correct Answer: (d) 10
Solution:

There are 10 squares :- ABCD, EFCD, FGHD, BIHD, HMLG, MPOL, ONKL, GLKJ, AIGE, HPNJ

44. How many right triangles can be made from the given figure? [RPF S.I. 19/12/2018 (Morning)]

Correct Answer: (c) 6
Solution:Here right angle triangles are :- (chd), (cid), (djg), (dfg), (abc), (aec)
Hence total right angle triangles in this figure will be 6.

45. How many squares are there in the given figure? [RPF S.I. 19/12/2018 (Morning)]

Correct Answer: (d) 15
Solution:

In this figure :-
Two inner figure has (5 + 5) = 10 square
And outer figure (abcd) has = 5 square
So total square in this figure = 10 + 5 = 15

46. What is the number of straight lines in the given figure? [RPF S.I. 19/12/2018 (Morning)]

Correct Answer: (b) 12
Solution:

In this figure:-
Horizontal lines = 5
Vertical lines = 3
Slant lines = 4
Hence total lines in this figure = 5 + 3 + 4 = 12

47. What is the number of straight lines in the given figure? [RPF S.I. 19/12/2018 (Evening)]

Correct Answer: (d) 18
Solution:

In this figure:-
Horizontal lines = 4
Vertical lines = 6
Slant lines = 8
Total lines in this figure = 4 + 6 + 8 = 18

48. How many squares are there in the given figure? [RPF S.I. 19/12/2018 (Evening)]

Correct Answer: (c) 22
Solution:Tricks for finding squares :- in this types of question firstly calculate no. of rows and columns and then apply
[ Cₙ × Rₙ + Cₙ - 1 × Rₙ - 1 + ………. Cₙ - n × Rₙ -ₙ ] In this figure rows = 3 and column = 3
so squares = 3×3 + 2×2 +1×1 = 14
But in this figure 8 squares are extra i.e { a,b,c,d,e,f,g,h }
Hence total squares in this figure = 14 + 8 = 22

49. How many right triangles can be made from the given figure? [RPF S.I. 24/12/2018 (Morning)]

Correct Answer: (b) 6
Solution:

Here right angle triangles are :- (abc), (acd), (feg), (fhg), (jil), (jkl)
Hence total right angle triangles :- 6

50. What is the number of straight lines in the given figure? [RPF S.I. 24/12/2018 (Morning)]

Correct Answer: (c) 13
Solution:

In this figure :-
Horizontal lines = 5
Vertical lines = 6
Slant lines = 2
So total lines = 6 + 5 + 2 = 13